Browsing Computational and Applied Mathematics by Title
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Safeguarding Hessian Approximations in Trust Region Algorithms
(198705)In establishing global convergence results for trust region algorithms applied to unconstrained optimization, it is customary to assume either a uniform upper bound on the sequence of Hessian approximations or an upper ... 
Scattering and dip angle decomposition based on subsurface offset extended waveequation migration
(2016)An angledependent reflection coefficient is recovered by seismic migration in the angle domain. We have developed a postmigration technique for computing scattering and dip angle commonimage gathers (CIGs) from seismic ... 
Schwarz Methods with Local Refinement for the pVersion Finite Element Method
(199301)We study local refinement for an additive Schwarz method with overlap using the pversion finite element method, introduced in a previous paper. We consider linear, scalar, selfadjoint, second order elliptic problems and ... 
Second Order Behavior of Pattern Search Algorithms
(200401)Previous analyses of pattern search algorithms for unconstrained and linearly constrained minimization have focused on proving convergence of a subsequence of iterates to a limit point satisfying either directional or ... 
Segmental refinement: A multigrid technique for data locality
(2016)We investigate a domain decomposed multigrid technique, termed segmental refinement, for solving general nonlinear elliptic boundary value problems. We extend the method first proposed in 1994 by analytically and experimentally ... 
Segmented Data Files: An I/O Standard
(199105) 
Selective Search for Global Optimization of Zero or Small Residual LeastSquares Problems: A Numerical Study
(199909)In this paper, we consider searching for global minima of zero or small residual, nonlinear leastsquares problems. We propose a selective search approach based on the concept of selective minimization recently introduced ... 
Semismooth Newton Methods for Operator Equations in Function Spaces
(200004)We develop a semismoothness concept for nonsmooth superposition operators in function spaces. The considered class of operators includes NCPfunctionbased reformulations of infinitedimensional nonlinear complementarity ... 
Several Procedures for OperatorBased Averaging for Elliptic Equations
(199208)Numerical procedures are discussed for constructing averaged coefficients for elliptic differential operators. These procedures are intended for problems where the coefficients vary on a scale finer than can be resolved ... 
Shape Optimization in Unsteady Blood Flow: A Numerical Study of NonNewtonian Effects
(200408)This paper presents a numerical study of nonNewtonian effects on the solution of shape optimization problems involving unsteady pulsatile blood flow. We consider an idealized twodimensional arterial graft geometry. Our ... 
Shape Optimization of Shell Structure Acoustics
(2017)This paper provides a rigorous framework for the numerical solution of shape optimization problems in shell structure acoustics using a referencedomain approach. The structure is modeled with Naghdi shell equations, fully ... 
A short note on a BernsteinBezier basis for the pyramid
(2016)We introduce a BernsteinBezier basis for the pyramid, whose restriction to the face reduces to the BernsteinBezier basis on the triangle or quadrilateral. The basis satisfies the standard positivity and partition of ... 
Shortterm Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices
(2012)The progressive GMRES algorithm, introduced by Beckermann and Reichel in 2008, is a residualminimizing shortrecurrence Krylov subspace method for solving a linear system in which the coefficient matrix has a lowrank ... 
ShortTerm Recurrence Krylov Subspace Methods for NearlyHermitian Matrices
(201110)The Progressive GMRES algorithm, introduced by Beckermann and Reichel in 2008, is a residualminimizing shortrecurrence Krylov subspace method for solving a linear system in which the coefficient matrix has a lowrank ... 
Signal Representation with Minimum L_Infinity Norm
(201210)Maximum (or L_infinity) norm minimization subject to an underdetermined system of linear equations finds use in a large number of practical applications, such as vector quantization, peaktoaverage power ratio (PAPR) (or ... 
SIMEST: An Algorithm for Simulation Based Estimation of Parameters Characterizing a Stochastic Process
(198608)The axioms defining stochastic processes are generally simple. However, estimation of the parameters of a process from data is extremely difficult if customary techniques are used. This is due to the complexities involved ... 
Simplified DualPorosity Model for TwoPhase Flow
(199202)A model for twophase, incompressible, immiscible fluid flow in a highly fractured porous medium is derived as a simplification of a much more detailed dualporosity model. This simplified model has a nonlinear matrixfracture ... 
Simulating Nanoscale Functional Motions of Biomolecules
(200605)We are describing efficient dynamics simulation methods for the characterization of functional motion of biomolecules on the nanometer scale. Multivariate statistical methods are widely used to extract and enhance functional ... 
Simulation of CO2 Sequestration in Saline Aquifers Using Discontinuous Galerkin Method
(201408)Carbon dioxide disposal into deep aquifer has been an important venue to trap excess gas emission which causes global warming. In the CO2 sequestration process, CO2 is captured from the point source and injected into the ... 
Simulation of Flow in RootSoil Systems
(199105)In this paper we develop a mathematical model of a rootsoil system, and also accurate and efficient finite element and finite difference algorithms for approximating this model. The goal of our work is to develop an ...